Relativity and Cosmology

0807 Submissions

A Theory of Gravity Based on Quantum Clocks and Moving Space

A theory of gravity based on quantum clocks and moving space is
proposed. The theory is based on the hypothesis of the quantum clock equivalence
principle (QCEP): it is impossible for a locally isolated observer to distinguish between
a red-shift in a moving inertial frame of reference and a red-shift in a reference frame
that is at rest in a field of gravity, if the red-shift is all the information he has. This
allows us to formulate a time-dilatation measurement based definition of the speed of
space in a gravity field. The QCEP is then used to predict the frequency shift of a
quantum clock at rest in a g-field, moving in a closed circular orbit and in free fall.
The cosmological and quantum gravitational possibilities of the QCEP hypothesis are
shortly mentioned.
Category:Relativity and Cosmology

Biquaternion Formulation of Relativistic Tensor Dynamics

In this paper we show how relativistic tensor dynamics
and relativistic electrodynamics can be formulated in a
bi-quaternion tensor language. The treatment is restricted
to mathematical physics, known facts as the Lorentz Force
Law and the Lagrange Equation are presented in a
relatively new formalism. The goal is to fuse anti-symmetric
tensor dynamics, as used for example in relativistic
electrodynamics, and symmetric tensor dynamics, as used for
example in introductions to general relativity, into one single
formalism: a specific kind of biquaternion tensor calculus.
Category:Relativity and Cosmology

A Remark on an Ansatz by M.W. Evans and the so-Called Einstein-Cartan-Evans Unified Field Theory

M.W. Evans tried to relate the electromagnetic field strength to the torsion of a
Riemann-Cartan spacetime. We show that this ansatz is untenable for at least two
reasons: (i) Geometry: Torsion is related to the (external) translation group and
cannot be linked to an internal group, like the U(1) group of electrodynamics. (ii)
Electrodynamics: The electromagnetic field strength as a 2-form carries 6 independent
components, whereas Evans' electromagnetic construct Fα is a vector-valued
2-form with 24 independent components. This doesn't match. One of these reasons
is already enough to disprove the ansatz of Evans.
Category:Relativity and Cosmology

In recent years there are some authors suggesting that the origin of dark energy, quintessence etc.
can be related to Van der Waals force-type interaction at cosmic scale. [1][2][3] Interestingly, in
this regards, this proposition also reminds us to Prof. Castro-Granik's idea sometime ago that if we
indeed live in the Cantorian spacetime Universe [5], then the effect would be as if the Universe
resembles a large Bose-Einstein condensate.
Category:Relativity and Cosmology